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Finding the Fourth Proportional to 12,024.56, 16,595.92 and 7,552.16

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Solution

The fourth proportional to 12,024.56, 16,595.92 and 7,552.16 is: 10,423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.56 : 16,595.92 = 7,552.16 : x
  2. Step 2: Convert to fraction form
    12,024.56/16,595.92 = 7,552.16/x
  3. Step 3: Cross multiply
    12,024.56x = 16,595.92 × 7,552.16
  4. Step 4: Simplify right side
    12,024.56x = 125,335,043.19
  5. Step 5: Solve for x
    x = 125,335,043.19/12,024.56
  6. Step 6: Final answer
    x = 10,423.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.